TSTP Solution File: SYN281-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN281-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 12:11:24 EDT 2022

% Result   : Unsatisfiable 2.86s 3.04s
% Output   : Refutation 2.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN281-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 16:16:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  ----- Otter 3.2, August 2001 -----
% 0.20/0.39  The process was started by sandbox2 on n027.cluster.edu,
% 0.20/0.39  Mon Jul 11 16:16:49 2022
% 0.20/0.39  The command was "./sos".  The process ID is 20578.
% 0.20/0.39  
% 0.20/0.39  set(prolog_style_variables).
% 0.20/0.39  set(auto).
% 0.20/0.39     dependent: set(auto1).
% 0.20/0.39     dependent: set(process_input).
% 0.20/0.39     dependent: clear(print_kept).
% 0.20/0.39     dependent: clear(print_new_demod).
% 0.20/0.39     dependent: clear(print_back_demod).
% 0.20/0.39     dependent: clear(print_back_sub).
% 0.20/0.39     dependent: set(control_memory).
% 0.20/0.39     dependent: assign(max_mem, 12000).
% 0.20/0.39     dependent: assign(pick_given_ratio, 4).
% 0.20/0.39     dependent: assign(stats_level, 1).
% 0.20/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.39     dependent: assign(sos_limit, 5000).
% 0.20/0.39     dependent: assign(max_weight, 60).
% 0.20/0.39  clear(print_given).
% 0.20/0.39  
% 0.20/0.39  list(usable).
% 0.20/0.39  
% 0.20/0.39  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.20/0.39  
% 0.20/0.39  This is a Horn set without equality.  The strategy will
% 0.20/0.39  be hyperresolution, with satellites in sos and nuclei
% 0.20/0.39  in usable.
% 0.20/0.39  
% 0.20/0.39     dependent: set(hyper_res).
% 0.20/0.39     dependent: clear(order_hyper).
% 0.20/0.39  
% 0.20/0.39  ------------> process usable:
% 0.20/0.39    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.20/0.39    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.20/0.39    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.20/0.39    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.20/0.39    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.20/0.39    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.20/0.39    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.20/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.20/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.20/0.39    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.20/0.39    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.20/0.39    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.20/0.39    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.20/0.39    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.20/0.39    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.20/0.39    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.20/0.39    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.20/0.39  13 back subsumes 9.
% 0.20/0.39  14 back subsumes 6.
% 0.20/0.39  28 back subsumes 21.
% 0.20/0.39  28 back subsumes 17.
% 0.20/0.39  40 back subsumes 39.
% 0.20/0.39  52 back subsumes 51.
% 0.20/0.39  77 back subsumes 68.
% 0.20/0.39  77 back subsumes 65.
% 0.20/0.39  142 back subsumes 134.
% 0.20/0.39  194 back subsumes 180.
% 0.20/0.39  216 back subsumes 213.
% 0.20/0.39  216 back subsumes 212.
% 0.20/0.39  244 back subsumes 239.
% 0.20/0.39  
% 0.20/0.39  ------------> process sos:
% 0.20/0.39    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.20/0.39    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.20/0.39  321 back subsumes 317.
% 0.20/0.39  324 back subsumes 309.
% 0.20/0.39  326 back subsumes 315.
% 0.20/0.39  326 back subsumes 311.
% 0.20/0.39  
% 0.20/0.39  ======= end of input processing =======
% 0.20/0.54  
% 0.20/0.54  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.54  
% 0.20/0.54  Stopped by limit on number of solutions
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  -------------- Softie stats --------------
% 0.20/0.54  
% 0.20/0.54  UPDATE_STOP: 300
% 0.20/0.54  SFINDER_TIME_LIMIT: 2
% 0.20/0.54  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.54  number of clauses in intial UL: 294
% 0.20/0.54  number of clauses initially in problem: 326
% 0.20/0.54  percentage of clauses intially in UL: 90
% 0.20/0.54  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.54  percent of all initial clauses that are short: 100
% 0.20/0.54  absolute distinct symbol count: 53
% 0.20/0.54     distinct predicate count: 48
% 0.20/0.54     distinct function count: 0
% 0.20/0.54     distinct constant count: 5
% 0.20/0.54  
% 0.20/0.54  ---------- no more Softie stats ----------
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.54  
% 0.20/0.54  Stopped by limit on number of solutions
% 0.20/0.54  
% 0.20/0.54  =========== start of search ===========
% 2.86/3.04  
% 2.86/3.04  -------- PROOF -------- 
% 2.86/3.04  % SZS status Unsatisfiable
% 2.86/3.04  % SZS output start Refutation
% 2.86/3.04  
% 2.86/3.04  Model 3 (0.00 seconds, 0 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on number of solutions
% 2.86/3.04  
% 2.86/3.04  Model 4 (0.00 seconds, 0 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on number of solutions
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 5 [ 2 2 8791 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 6 [ 3 3 10153 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 7 [ 4 3 10388 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 8 [ 2 3 12190 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 9 [ 3 2 8200 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 10 [ 3 2 10647 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 11 [ 6 2 13515 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 12 [ 9 2 3455 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 13 [ 6 2 3656 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 14 [ 12 2 2988 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 15 [ 5 2 10560 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 16 [ 10 2 8614 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  Stopped by limit on insertions
% 2.86/3.04  
% 2.86/3.04  Model 17 [ 15 1 6154 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  ----> UNIT CONFLICT at   2.62 sec ----> 400 [binary,399.1,307.1] {-} $F.
% 2.86/3.04  
% 2.86/3.04  Length of proof is 1.  Level of proof is 1.
% 2.86/3.04  
% 2.86/3.04  ---------------- PROOF ----------------
% 2.86/3.04  % SZS status Unsatisfiable
% 2.86/3.04  % SZS output start Refutation
% 2.86/3.04  
% 2.86/3.04  86 [] {+} q1(A,B,B)| -p0(B,A).
% 2.86/3.04  307 [] {+} -q1(A,c,c).
% 2.86/3.04  325 [] {-} p0(c,b).
% 2.86/3.04  399 [hyper,325,86] {-} q1(b,c,c).
% 2.86/3.04  400 [binary,399.1,307.1] {-} $F.
% 2.86/3.04  
% 2.86/3.04  % SZS output end Refutation
% 2.86/3.04  ------------ end of proof -------------
% 2.86/3.04  
% 2.86/3.04  
% 2.86/3.04  Search stopped by max_proofs option.
% 2.86/3.04  
% 2.86/3.04  
% 2.86/3.04  Search stopped by max_proofs option.
% 2.86/3.04  
% 2.86/3.04  ============ end of search ============
% 2.86/3.04  
% 2.86/3.04  ----------- soft-scott stats ----------
% 2.86/3.04  
% 2.86/3.04  true clauses given           3      (15.0%)
% 2.86/3.04  false clauses given         17
% 2.86/3.04  
% 2.86/3.04        FALSE     TRUE
% 2.86/3.04     2  0         1
% 2.86/3.04     3  8         2
% 2.86/3.04     4  21        18
% 2.86/3.04  tot:  29        21      (42.0% true)
% 2.86/3.04  
% 2.86/3.04  
% 2.86/3.04  Model 17 [ 15 -23 6154 ] (0.00 seconds, 250000 Inserts)
% 2.86/3.04  
% 2.86/3.04  That finishes the proof of the theorem.
% 2.86/3.04  
% 2.86/3.04  Process 20578 finished Mon Jul 11 16:16:52 2022
%------------------------------------------------------------------------------